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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a tangent in relation to a curve.
💡 Hint: Think about how tangents interact with curves.
Question 2
Easy
What is the first step to find a tangent line to a curve?
💡 Hint: Consider evaluating the function.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is a tangent line?
- A line that crosses the curve
- A line that touches the curve
- A line that moves along the curve
💡 Hint: Focus on how it interacts with the curve.
Question 2
The slope of a tangent is found using which mathematical concept?
- True
- False
💡 Hint: Consider the definition of derivative.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function y = x^4, find the equation of the tangent line at x = 1.
💡 Hint: Remember to substitute properly into the point-slope form.
Question 2
Find the tangent line to the curve y = sin(x) at x = π/2.
💡 Hint: Consider the properties of cosine at important angles.
Challenge and get performance evaluation